Moduli of \'etale subalgebras in an Azumaya algebra
Rings and Algebras
2007-05-23 v1 Algebraic Geometry
Abstract
Let be a sheaf of Azumaya algebras over a Noetherian base . In this paper we describe using generalized Severi-Brauer varieties, a quasi-projective moduli space parametrizing sheaves of \`etale subalgebras of . In the case that is the spectrum of a field, we study the geometry of this moduli space, and show that in certain cases it is a rational variety.
Cite
@article{arxiv.math/0411529,
title = {Moduli of \'etale subalgebras in an Azumaya algebra},
author = {Daniel Krashen},
journal= {arXiv preprint arXiv:math/0411529},
year = {2007}
}
Comments
8 pages